Thanks! I was able to fix it by working with them.
For any Aplus.Net users, they have to approve any outgoing connections from your website. To do this, access https://cp.aplus.net and select the domain name that you’re hosting the blog on. From there select the “Support Center” tab and then “Allow Outbound Connections”
You need an IP address and port for EVERY outbound connection. So one for www.ads-software.com for the plug-in browser, one for LiveJournal if you have a crossposting plugin, one for Twitter if you want to use a plugin for that.
Fun times. I’m going to be changing hosts soon, having to jump through all these hoops just to get crossposting to work was annoying.